Find the height $ h $ of a pyramid if side $a = 22.4$ and slant height $s = 90.6$.
Answer
$h = 89.9051$
Explanation
To find height $ h $ use Pythagorean Theorem:
$$ h^2 + \frac{ a^2 }{ 4 } = s^2 $$After substituting $ a = 22.4 $ and $ s = 90.6 $ we have:
$$ h ^ {\,2} + \frac{ 22.4^2 }{ 4 } = 90.6^2 $$ $$ h ^ {\,2} + \frac{ 501.76 }{ 4 } = 90.6^2 $$ $$ h ^ {\,2} + 125.44 = 90.6^2 $$ $$ h ^ {\,2} = 8208.36 - 125.44 $$ $$ h ^ {\,2} = 8082.92 $$ $$ h = \sqrt{ 8082.92 } $$$$ h = 89.9051 $$This page was created using
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